\(L^p\)-boundedness of the Littlewood-Paley \(g\)-function associated with the spherical mean operator for \(1

DOI10.1007/s00009-016-0748-yzbMath1358.43005OpenAlexW2435982831MaRDI QIDQ346909

Mohammad Hasan, M. Dambrine

Publication date: 30 November 2016

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-016-0748-y

zbMATH Keywords

Littlewood-Paley \(g\)-functionPoisson integralPoisson semigroupspherical mean operator

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Other transforms and operators of Fourier type (43A32)

Cites Work

• Localization of orthonormal sequences in the spherical mean setting
• La \(g\)-fonction de Littlewood-Paley associée à un opérateur différentiel singulier sur \((0,\infty)\). (The Littlewood-Paley's \(g\)-function associated with à singular différential opérator on \((0,\infty)\))
• Ranges and inversion formulas for spherical mean operator and its dual
• The Littlewood-Paley \(g\)-function associated with the spherical mean operator
• WEYL TRANSFORMS ASSOCIATED WITH THE SPHERICAL MEAN OPERATOR
• Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)
• A Remark on Linear Elliptic Differential Equations of Second Order
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